Whether or not you put your passport in the safe, hide it amongst your belongings or keep it with you at all times it is advised to have a photograph of the detail pages.
We have them in both of our phones.
On occasions when I have taken my good jewellery away I use the safe. On one occasion as we got into our home the phone was ringing, it was the hotel manager asking me to check my jewellery, which I did and realised I was missing a small pouch containing earrings and matching necklace. I described the missing items, for confirmation. I had left them in the safe, they were sent from Cyprus, special delivery and arrived two days later.
The only time we had a problem with a safe not opening was in Las Vegas. We rung reception and told them, they said it would be a while. DH said he wanted his $’s out so he could go to the casino (he wasn’t going to the casino, he doesn’t gamble) the manager was at our door within 5 minutes.